GCF and LCM Calculator Logo

What is the Greatest Common Factor of 42334 and 42354?

Greatest common factor (GCF) of 42334 and 42354 is 2.

GCF(42334,42354) = 2

We will now calculate the prime factors of 42334 and 42354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42334 and 42354.

GCF Calculator and
and

How to find the GCF of 42334 and 42354?

We will first find the prime factorization of 42334 and 42354. After we will calculate the factors of 42334 and 42354 and find the biggest common factor number .

Step-1: Prime Factorization of 42334

Prime factors of 42334 are 2, 61, 347. Prime factorization of 42334 in exponential form is:

42334 = 21 × 611 × 3471

Step-2: Prime Factorization of 42354

Prime factors of 42354 are 2, 3, 13, 181. Prime factorization of 42354 in exponential form is:

42354 = 21 × 32 × 131 × 1811

Step-3: Factors of 42334

List of positive integer factors of 42334 that divides 42334 without a remainder.

1, 2, 61, 122, 347, 694, 21167

Step-4: Factors of 42354

List of positive integer factors of 42354 that divides 42334 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 181, 234, 362, 543, 1086, 1629, 2353, 3258, 4706, 7059, 14118, 21177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42334 and 42354. The biggest common factor number is the GCF number.
So the greatest common factor 42334 and 42354 is 2.

Also check out the Least Common Multiple of 42334 and 42354